Universality in the Full Counting Statistics of Trapped Fermions

Autor(en)

Viktor Eisler

Abstrakt

We study the distribution of particle number in extended subsystems of a one-dimensional noninteracting Fermi gas confined in a potential well at zero temperature. Universal features are identified in the scaled bulk and edge regions of the trapped gas where the full counting statistics are given by the corresponding limits of the eigenvalue statistics in Gaussian unitary random matrix ensembles. The universal limiting behavior is confirmed by the bulk and edge scaling of the particle number fluctuations and the entanglement entropy.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Journal

Physical Review Letters

Band

111

Anzahl der Seiten

5

ISSN

0031-9007

DOI

https://doi.org/10.1103/PhysRevLett.111.080402

Publikationsdatum

08-2013

Peer-reviewed

Ja

ÖFOS 2012

103036 Theoretische Physik, 103025 Quantenmechanik

Schlagwörter

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/7a4e42f4-9881-4188-b49a-41081902c19f